10414257 has 16 divisors (see below), whose sum is σ = 15914880. Its totient is φ = 5933952.

The previous prime is 10414247. The next prime is 10414289. The reversal of 10414257 is 75241401.

It is not a de Polignac number, because 10414257 - 2¹² = 10410161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10414207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12469 + ... + 13277.

It is an arithmetic number, because the mean of its divisors is an integer number (994680).

Almost surely, 2^10414257 is an apocalyptic number.

It is an amenable number.

10414257 is a deficient number, since it is larger than the sum of its proper divisors (5500623).

10414257 is an equidigital number, since it uses as much as digits as its factorization.

10414257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 10414257 is about 3227.1127962933. The cubic root of 10414257 is about 218.3782745836.

Adding to 10414257 its reverse (75241401), we get a palindrome (85655658).

The spelling of 10414257 in words is "ten million, four hundred fourteen thousand, two hundred fifty-seven".